Chaos, Fractals and Dynamics: Computer Experiments in Mathematics

In this captivating and richly illustrated presentation mathematician Robert L. Devaney communicates his deep understanding as will as his enthusiasm for the topics of chaos, fractals and dynamical systems. Starting at a level suitable for well-prepared high school students, he tells the mathematical story behind these fascinating topics. Using attractive graphs and diagrams, Devaney gives a clear and visually appealing introduction to the concepts. Computer generated graphics of the fractal Julia sets of the sine, cosine and exponential functions offer stunning proof of the beauty and complexity of these subjects. Devaney explains how the computer is used to make the still pictures and animations. Though the mathematical background required is elementary, those at the college level and beyond will appreciate this tape for the clarity of exposition and the sheer beauty of the graphics. It can be used by itself or as a companion to Devaney’s books on chaos theory. “The videotape furnishes an excellent mathematical description of a concept that most mathematics students have seen only visually. This mathematical description of iterations and fractals is very mathematically sound and well sequenced for the viewer… it makes the notion of chaos come alive. James Mason, San Diego State University reviewing this video in The Mathematics Teacher, October 1990